Preprint arXiv: 2402.10864[math.NT]; last accessed May 13, 2024.

**ISSN/ISBN:** Not available at this time.
**DOI:** Not available at this time.

- For online information, click here.

**Abstract:** For D a natural number that is not a perfect square and for k a non-zero integer, consider the subset ℤ_{k}(√D) of the quadratic integer ring ℤ(√D) consisting of elements x+y√D for which x^{2}−Dy^{2}=k . For each k such that the set ℤ_{k}(√D) is nonempty, ℤ_{k}(√D) has a natural arrangement into a sequence for which the corresponding sequence of integers x, as well as the corresponding sequence of integers y, are strong Benford sequences.

**Bibtex:**

```
@misc{,
title={Benford's Law in the ring $\mathbb{Z}(\sqrt{D})$},
author={Christine Patterson and Marion Scheepers},
year={2024},
eprint={2402.10864},
archivePrefix={arXiv},
primaryClass={math.NT}
}
```

**Reference Type:** Preprint

**Subject Area(s):** Number Theory